Greatest Common Factor of 127/384, 538/260, 495/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 127/384, 538/260, 495/102

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 127/384,538/260,495/102

Given fractions are 127/384,538/260,495/102

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 127,538,495

Greatest Common Factor of Numerators i.e. GCF of 127,538,495 is 1 .

LCM of Denominators means LCM of 384,260,102 as per the given fractions.

LCM of 384,260,102 is 424320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 127,538,495

GCF of Fractions 127/384,538/260,495/102 is 1/424320

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 127,538,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,538,495 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 127,538,495 . The biggest common factor number is the GCF number.
So the greatest common factor 127,538,495 is 1.

Lets's calculate LCM of 384,260,102

2 384, 260, 102
2 192, 130, 51
3 96, 65, 51
32, 65, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 32 x 65 x 17 = 424320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424320

Therefore, the GCF of Fractions 127/384,538/260,495/102 is 1/424320

Least Common Multiple of 384,260,102 with GCF Formula

Least Common Multiple of 384,260,102 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 384,260,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,260,102) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(384,260,102) x common factors =2 x 12 = 24

LCM(384,260,102) = ( 384 × 260 × 102 ) / 24

LCM(384,260,102) = 10183680 / 24

LCM(384,260,102) = 424320


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 127/384, 538/260, 495/102

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 127/384, 538/260, 495/102?

Answer: GCF of Numerators as per given numbers 127/384, 538/260, 495/102 is

GCF of Numerators i.e. for 127,538,495 is 1

LCM of denominators i.e. for 384,260,102 is 424320.

Thus, GCF of Fractions is 1/424320.Finally, GCF of Fractions for 127/384, 538/260, 495/102 is 1/424320.